Secondary School (English Medium) (5 to 8) इयत्ता ७ - CBSE Question Bank Solutions for Mathematics

x^m ÷ y^m = (x ÷ y)^m, where x and y are non-zero rational numbers and m is a positive integer.

If `p/q = (3/2)^2 ÷ (9/4)^0`, find the value of `(p/q)^3`.

Find the reciprocal of the rational number `(1/2)^2 ÷ (2/3)^3`

If three cubes each of edge 4 cm are placed end to end, then the dimensions of resulting solid are ______.

Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle?

Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are ______.

Construct a right-angled triangle whose hypotenuse measures 5 cm and one of the other sides measures 3.2 cm.

Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4.5 cm.

The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

The run scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

1. Find the mode and median of this data.
2. Is there more than one mode?

The mode is always one of the numbers in a data.

List five rational numbers between −1 and 0.

List five rational numbers between −2 and −1.

List five rational numbers between `(-4)/5  "and"  (-2)/3`.

List five rational numbers between `-1/2  "and"  2/3`.

Write four more rational numbers in the following pattern:

`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`

Write four more rational numbers in the following pattern:

`(-1)/4, (-2)/8,(-3)/12 ....`

Write four more rational numbers in the following pattern:

`(-1)/6, 2/(-12), 3/(-18), 4/(-24)`